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2 years ago

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Which pair shows equivalent expressions?

1 answer:

Simora [160]2 years ago

7 0

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

So,

Answer:Option (b)

Applying distributive property, a(b+c)=ab+ac

So, Option (B) is correct.

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3 years ago

4 over 1 divided by 9 over 8 equals

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3 5/9

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2 years ago

A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range

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Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

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One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 150

$\hat p$ = 0.68

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

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Thus, the reasonable range for the population mean is (61%, 75%).

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3 years ago

If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas

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3 years ago

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Answer:

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Total time: 3 hours 45 minutes

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2 years ago

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